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Consistent Interactions Between Gauge Fields: The Cohomological Approach

Marc Henneaux

Abstract

The cohomological approach to the problem of consistent interactions between fields with a gauge freedom is reviewed. The role played by the BRST symmetry is explained. Applications to massless vector fields and 2-form gauge fields are surveyed.

Consistent Interactions Between Gauge Fields: The Cohomological Approach

Abstract

The cohomological approach to the problem of consistent interactions between fields with a gauge freedom is reviewed. The role played by the BRST symmetry is explained. Applications to massless vector fields and 2-form gauge fields are surveyed.

Paper Structure

This paper contains 18 sections, 63 equations.

Table of Contents

  1. Introduction
  2. The problem of consistent interactions between gauge fields
  3. Consistent interactions for a set of $U(1)$-gauge fields
  4. Consistent Interactions For A Set Of Free Exterior $2$-Forms
  5. General Equations
  6. Algebra Of The Gauge Transformations
  7. Trivial Deformations
  8. Analysis Of The Equations - Overview
  9. Equations to First Order
  10. BRST Differential
  11. BRST Differential For a Set of $U(1)$-Gauge Fields
  12. BRST Differential For a Set of Free Exterior $2$-Forms
  13. (Integrated) Observables
  14. First-Order Consistent Interactions For a Set of $U(1)$-Gauge Fields
  15. First-Order Consistent Interactions For a Set of Free exterior $2$-Forms
  16. ...and 3 more sections